Ask question

Ask question

All categories

3 years ago

5

"the sum of the digits of a two-digit number is 12. The difference of the digits is 2. find the number if the units digit is lar

ger than the tens digit"

1 answer:

Stells [14]3 years ago

7 0

let the number be xy then

x + y = 12

y - x = 2 ( because y > x)

adding we get 2y = 14 so y = 7

and x = 12 - 7 = 5

So the number is 57.

You might be interested in

Write the equation of the line that passes. Throught the point (-2,1)and (0,8)put your aswer in fully reduce point slope form un

Soloha48 [4]

Answer:

Step-by-step explanation:

first, we need to find the slope

slope = (y2 - y1) / (x2 - x1)

(-2,1)...x1 = -2 and y1 = 1

(0,8)...x2 = 0 and y2 = 8

now sub

slope = (8 - 1) / (0- (-2) = 7/(0 + 2) = 7/2

point slope form : y - y1 = m(x - x1)

using point (-2,1)....x1 = -2 and y1 = 1

slope(m) = 7/2

now sub

y - 1 = 7/2(x - (-2) =

y - 1 = 7/2(x + 2) <==== here is one answer

y - y1 = m(x - x1)

using point (0,8)...x1 = 0 and y1 = 8

slope(m) = 7/2

now sub

y - 8 = 7/2(x - 0) <===== another possible answer

6 0

3 years ago

Write an equation for an ellipse centered at the origin, which has foci at (\pm\sqrt{8},0)(± 8 ,0)(, plus minus, square root o

Alchen [17]

Answer:

The equation of ellipse centered at the origin

$\frac{x^2}{18} +\frac{y^2}{10} =1$

Step-by-step explanation:

given the foci of ellipse (±√8,0) and c0-vertices are (0,±√10)

The foci are (-C,0) and (C ,0)

Given data (±√8,0)

the focus has x-coordinates so the focus is lie on x- axis.

The major axis also lie on x-axis

The minor axis lies on y-axis so c0-vertices are (0,±√10)

given focus C = ae = √8

Given co-vertices ( minor axis) (0,±b) = (0,±√10)

b= √10

The relation between the focus and semi major axes and semi minor axes are $c^2=a^2-b^2$

$a^{2} = c^{2} +b^{2}$

$a^{2} = (\sqrt{8} )^{2} +(\sqrt{10} )^{2}$

$a^{2} =18$

$a=\sqrt{18}$

The equation of ellipse formula

$\frac{x^2}{a^2} +\frac{y^2}{b^2} =1$

we know that $a=\sqrt{18} and b=\sqrt{10}$

<u>Final answer:</u>-

<u>The equation of ellipse centered at the origin</u>

<u /> $\frac{x^2}{18} +\frac{y^2}{10} =1$ <u />

8 0

3 years ago

Read 2 more answers

Anna bought p packages of paper plates at Party City that cost $4 per package and c packages of cups that cost $3 per package. S

sergeinik [125]

Answer:

$46

Step-by-step explanation:

Cost: 4p + 3c + 16

if p=3 and c=6 then,

4(3) + 3(6) +16

12+18+16

46 dollars spent

4 0

2 years ago

Find the number that makes the ratio equivalent 1:3 9:_

dimaraw [331]

Answer:

27

Step-by-step explanation:

If the ratio is 1:3 multiply that by 9:9 so you effectively get 9:9x3 = 9:27. Or, you can say to yourself if B (3) is 3 times greater than A (1) then B is 3 times greater than 9. So 9x3 = 27

3 0

3 years ago

At an electronics store, a smart phone is on sale for 35% off the original price of $679. If you use the store credit card, you

kifflom [539]

Answer:

The final price of the smart phone if you use the store credit card is $339.5

Step-by-step explanation:

Given;

original price of the smart phone = $679

initial discount = 35%

additional discount if you use the store credit card = 15%

total discount of the smart phone if you use the store credit card

= 35% + 15% = 50%

The final price of the smart phone, if you use the store credit card is given as;

P = 0.5 X $679

P = $339.5

Therefore, the final price of the smart phone if you use the store credit card is $339.5

8 0

3 years ago